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Popular >

simplify (a/3+b/2)^4

Solution

simplify

(\frac{a}{3} + \frac{b}{2})^{4}

Solution

\frac{( 2 a + 3 b ) ^{4}}{1296}

Solution steps

(\frac{a}{3} + \frac{b}{2})^{4}

Simplify

\frac{a}{3} + \frac{b}{2} : \frac{2 a + 3 b}{6}

= (\frac{2 a + 3 b}{6})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 a + 3 b ) ^{4}}{6 ^{4}}

6^{4} = 1296

= \frac{( 2 a + 3 b ) ^{4}}{1296}

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Frequently Asked Questions (FAQ)

What is (a/3+b/2)^4 ?
The solution to (a/3+b/2)^4 is ((2a+3b)^4)/(1296)